Current Transform and Mesh Analysis

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Discussion Overview

The discussion revolves around a problem involving mesh analysis and current transformation in circuit analysis. Participants explore how to redraw a circuit to identify mesh currents, specifically addressing a problem that requires finding three mesh currents despite initially appearing to have only two meshes after transformation.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Homework-related

Main Points Raised

  • One participant describes their struggle with redrawing the circuit for Problem 4.3 to find three mesh currents, despite initially identifying only two meshes.
  • Another participant questions the necessity of three mesh currents, suggesting confusion about the problem's requirements.
  • A third participant confirms that the transformation leads to two meshes, but proposes using KCL with an external current supply to derive the third mesh current.
  • A later reply indicates that the professor confirmed the solution involving KCL, suggesting that the approach is valid.
  • One participant notes that the three currents correspond to the meshes in the original version of the problem.

Areas of Agreement / Disagreement

Participants express confusion regarding the need for three mesh currents, with some agreeing that the transformation leads to only two meshes while others suggest a method to derive the third current. The discussion reflects uncertainty and differing interpretations of the problem requirements.

Contextual Notes

Participants do not fully resolve the assumptions about the circuit transformation or the application of KCL, leaving some steps and definitions unclear.

naosyth
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1 Problem Statement:

kBgpU77.png


2 Relevant Equations

KVL
KCL
Ohm's Law

3 Attempt at Solution

I solved Problem 4.2, which was just mesh analysis on the original problem. I got the correct answers, indicated by F.A. The problem I am having with 4.3 is how to redraw the circuit with the indicated changes. When I redraw it, I am left with only two meshes, but I need to find three mesh currents. All I really need is to be pointed in the right direction on how to redraw the circuit, and where the three mesh currents would be. I have been working on this for hours and have tried too many things to list it all here...

Edit: This is where I am at so far:
H5OlAOT.jpg

Ignore the equations under the circuit, that was just me trying random ideas...
 
Last edited:
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I don't see why you need three mesh currents.
 
I don't either, that's the problem. The question says the find the mesh currents, and lists three answers. Without the current transform, then it is an easy problem. With the transform though, I am quite confused...
 
Aha! I got it! When you do the transformation, you get two meshes, but then you apply KCL with one of the meshes and the 13A current supply from the original circuit to get the third mesh current. My professor replied to my email shortly after I did this, and confirmed that this is the correct solution! It feels good finally solving this, after 4 hours!
 
Yeah - you only needed to find three currents.
In the first version of the problem, they corresponded to the meshes.
 

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